Page 79 - Math Smart - 7

Place value

The place value of a digit depends on the position of the digit in a number.
Let's look at the place-value table.

1 2 9 4 • 7 6 5

The value of The value of The value The value The value of The value of The value of
the digit 1 is the digit 2 is of the digit of the the digit 7 is the digit 6 is the digit 5 is
1000. 200. 9 is 90. digit 4 is 4. 0.7. 0.06. 0.005.
1 thousand 2 hundreds 9 tens 4 units 7 tenths 6 hundredths 5 thousandths
1000 200 90 4 J_ 6 5
10 100 1000

The expanded form of the decimal 1294.765 is

1 X 1000 + 2X 100 + 9X 10 + 4X1 + 7X:jL + 6X:^+5X:|^

+
= 1000 + 200 + 90 + 4 + i
= 1000 + 200 + 90 + 4 + 0.7 + 0.06 + 0.005

Check My
Understanding

state whether the following statements are true or false. If it is false, write the correct
statement. In the decimal 489.26,
a) 489 is the whole number.
b) The decimal point separates the whole number of the decimal number from the
fractional part of the decimal number.
c) There are 2 hundredths.
d) There are 6 tenths.
e) The place value of the digit 4 is hundredths.
What is the place value of the underlined digit in each of the following numbers?
a) 39.4 b) 39.04 c) 169.08 d) 1473.98
e) 319.473 f) 105.24 g) 286.449
What is the value of the underlined digit in each of the following numbers?
a) 39.4 b) 39.04 c) 169.08 d) 1473.98
e) 319.473 f) 105.24 g) 286.449

e